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Finding the Fourth Proportional to 209,614.97, 289,254.05 and 118,972.77

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Solution

The fourth proportional to 209,614.97, 289,254.05 and 118,972.77 is: 164,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,614.97 : 289,254.05 = 118,972.77 : x
  2. Step 2: Convert to fraction form
    209,614.97/289,254.05 = 118,972.77/x
  3. Step 3: Cross multiply
    209,614.97x = 289,254.05 × 118,972.77
  4. Step 4: Simplify right side
    209,614.97x = 34,413,355,859.65
  5. Step 5: Solve for x
    x = 34,413,355,859.65/209,614.97
  6. Step 6: Final answer
    x = 164,174.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.